Look, if I were to send a robot to infiltrate ANYWHERE, I'd pick one that was mousy and average in every possible physical aspect. A wholly unremarkable robot... who wore a standard uniform... and didn't have built in high heels in their feet.
I still have issues with EDIs robot body is what I am saying. So many issues.

Yeah... CoreBot kinda failed at the 'inconspicuous' thing. Made for a less than ideal infiltrator. Though this is the same universe that let Legion prance around the Citadel just because they were in Shepard's company.

My theory is that Shepard and associated individuals extend a bizarreness field around them that overloads the curiosity portions of normal people's brains. So if Liara hadn't been there, it would have been ferreted out in a heartbeat.

ALSO, this robot was named after a woman who sacrificed her life to help Jack Harper, aka TIM, survive humanity's first encounters with Reaper indoctrination and husk technology. Hardly seems the most... dignified method of memorialization.